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Some counterexamples to subexponential growth of orthogonal polynomials

100%

Zygmunt M. J.

Studia Mathematica

1995

tom 116

nr 2

197-206

We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.

Characterizations of distributions by moments of order statistics when the sample size is random

63%

Grudzień Z., Szynal D.

Applicationes Mathematicae

1995-1996

tom 23

nr 3

305-318

We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Studia Mathematica

1 Grudzień Z.

1 Szynal D.

1 Zygmunt M. J.

2 1995

Wyniki wyszukiwania

Some counterexamples to subexponential growth of orthogonal polynomials

Characterizations of distributions by moments of order statistics when the sample size is random